According to the Central Limit Theorem, if a distribution follows a bell-shaped,

Question

According to the Central Limit Theorem, if a distribution follows a bell-shaped, symmetrical curve centered around the mean, approximately 68, 95, and 99.7 percent of the values will fall within one, two, and three standard deviations above and below the mean respectively. True False Cosico installs automobile Ares on a first-come first-serve basis. The total time a customer needs to wait for the installation to be completed follows the normal distribution with a mean time of 106.3 minutes and a standard deviation of 18.5 minutes. What is the probability that a randomly selected customer will wait more than 125 minutes for his or her Ares to be installed? 0.1562 0.2090 0.3409 0.4920 The exponential probability is a discrete distribution is a discrete distribution that is often used to describe time between customer arrivals. True False A normal probability distribution's standard deviation(theta) completely describes its shape. True False

Explanation / Answer

1. TRUE

2. Mean is 106.3 and sd is 18.5

P(x>125) =P(z>(125-106.3)/18.5))=P(z>1.01)

from normal distribution table. =1-P(z<1.01) =1-0.8438=0.1562 option A

3. FALSE, exponential is continuous

4. FALSE, mean is also required to explain the shape

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